Determining Parallelism in 2D Column Vectors

Determining Parallelism in 2D Column Vectors

Secondary 4

Given that \(\mathbf{a} = \begin{pmatrix} -12 \\ 5 \end{pmatrix}\) and \(\mathbf{b} = \begin{pmatrix} 6 \\ -k \end{pmatrix}\),

  1. find \(|\mathbf{a}|\).
  2. Given that \(\mathbf{a}\) is parallel to \(\mathbf{b}\), find the value of \(k\).

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Answer:(a) |a| = 13. (b) k = 5/2.

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